13420013541 has 64 divisors (see below), whose sum is σ = 20304691200. Its totient is φ = 7814259200.

The previous prime is 13420013513. The next prime is 13420013561. The reversal of 13420013541 is 14531002431.

It is a happy number.

It is not a de Polignac number, because 13420013541 - 2¹⁵ = 13419980773 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13420013561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26365195 + ... + 26365703.

It is an arithmetic number, because the mean of its divisors is an integer number (317260800).

Almost surely, 2^13420013541 is an apocalyptic number.

13420013541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13420013541 is a deficient number, since it is larger than the sum of its proper divisors (6884677659).

13420013541 is a wasteful number, since it uses less digits than its factorization.

13420013541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13420013541 its reverse (14531002431), we get a palindrome (27951015972).

It can be divided in two parts, 134200 and 13541, that added together give a palindrome (147741).

The spelling of 13420013541 in words is "thirteen billion, four hundred twenty million, thirteen thousand, five hundred forty-one".